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Finding the Third Proportional to 413.72 and 604.97

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Solution

The third proportional to 413.72 and 604.97 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 604.97 = 604.97 : x
  2. Step 2: Convert to fraction form
    413.72/604.97 = 604.97/x
  3. Step 3: Cross multiply
    413.72x = 604.97 × 604.97
  4. Step 4: Simplify right side
    413.72x = 365,987.19
  5. Step 5: Solve for x
    x = 365,987.19/413.72
  6. Step 6: Final answer
    x = 884.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.